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author | maxim-yurchuk <maxim-yurchuk@yandex-team.com> | 2024-10-09 12:29:46 +0300 |
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committer | maxim-yurchuk <maxim-yurchuk@yandex-team.com> | 2024-10-09 13:14:22 +0300 |
commit | 9731d8a4bb7ee2cc8554eaf133bb85498a4c7d80 (patch) | |
tree | a8fb3181d5947c0d78cf402aa56e686130179049 /contrib/python/matplotlib/py3/extern/agg24-svn/src/agg_bspline.cpp | |
parent | a44b779cd359f06c3ebbef4ec98c6b38609d9d85 (diff) | |
download | ydb-9731d8a4bb7ee2cc8554eaf133bb85498a4c7d80.tar.gz |
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commit_hash:c82a80ac4594723cebf2c7387dec9c60217f603e
Diffstat (limited to 'contrib/python/matplotlib/py3/extern/agg24-svn/src/agg_bspline.cpp')
-rw-r--r-- | contrib/python/matplotlib/py3/extern/agg24-svn/src/agg_bspline.cpp | 284 |
1 files changed, 284 insertions, 0 deletions
diff --git a/contrib/python/matplotlib/py3/extern/agg24-svn/src/agg_bspline.cpp b/contrib/python/matplotlib/py3/extern/agg24-svn/src/agg_bspline.cpp new file mode 100644 index 0000000000..e1fda9f51f --- /dev/null +++ b/contrib/python/matplotlib/py3/extern/agg24-svn/src/agg_bspline.cpp @@ -0,0 +1,284 @@ +//---------------------------------------------------------------------------- +// Anti-Grain Geometry - Version 2.4 +// Copyright (C) 2002-2005 Maxim Shemanarev (http://www.antigrain.com) +// +// Permission to copy, use, modify, sell and distribute this software +// is granted provided this copyright notice appears in all copies. +// This software is provided "as is" without express or implied +// warranty, and with no claim as to its suitability for any purpose. +// +//---------------------------------------------------------------------------- +// Contact: mcseem@antigrain.com +// mcseemagg@yahoo.com +// http://www.antigrain.com +//---------------------------------------------------------------------------- +// +// class bspline +// +//---------------------------------------------------------------------------- + +#include "agg_bspline.h" + +namespace agg +{ + //------------------------------------------------------------------------ + bspline::bspline() : + m_max(0), + m_num(0), + m_x(0), + m_y(0), + m_last_idx(-1) + { + } + + //------------------------------------------------------------------------ + bspline::bspline(int num) : + m_max(0), + m_num(0), + m_x(0), + m_y(0), + m_last_idx(-1) + { + init(num); + } + + //------------------------------------------------------------------------ + bspline::bspline(int num, const double* x, const double* y) : + m_max(0), + m_num(0), + m_x(0), + m_y(0), + m_last_idx(-1) + { + init(num, x, y); + } + + + //------------------------------------------------------------------------ + void bspline::init(int max) + { + if(max > 2 && max > m_max) + { + m_am.resize(max * 3); + m_max = max; + m_x = &m_am[m_max]; + m_y = &m_am[m_max * 2]; + } + m_num = 0; + m_last_idx = -1; + } + + + //------------------------------------------------------------------------ + void bspline::add_point(double x, double y) + { + if(m_num < m_max) + { + m_x[m_num] = x; + m_y[m_num] = y; + ++m_num; + } + } + + + //------------------------------------------------------------------------ + void bspline::prepare() + { + if(m_num > 2) + { + int i, k, n1; + double* temp; + double* r; + double* s; + double h, p, d, f, e; + + for(k = 0; k < m_num; k++) + { + m_am[k] = 0.0; + } + + n1 = 3 * m_num; + + pod_array<double> al(n1); + temp = &al[0]; + + for(k = 0; k < n1; k++) + { + temp[k] = 0.0; + } + + r = temp + m_num; + s = temp + m_num * 2; + + n1 = m_num - 1; + d = m_x[1] - m_x[0]; + e = (m_y[1] - m_y[0]) / d; + + for(k = 1; k < n1; k++) + { + h = d; + d = m_x[k + 1] - m_x[k]; + f = e; + e = (m_y[k + 1] - m_y[k]) / d; + al[k] = d / (d + h); + r[k] = 1.0 - al[k]; + s[k] = 6.0 * (e - f) / (h + d); + } + + for(k = 1; k < n1; k++) + { + p = 1.0 / (r[k] * al[k - 1] + 2.0); + al[k] *= -p; + s[k] = (s[k] - r[k] * s[k - 1]) * p; + } + + m_am[n1] = 0.0; + al[n1 - 1] = s[n1 - 1]; + m_am[n1 - 1] = al[n1 - 1]; + + for(k = n1 - 2, i = 0; i < m_num - 2; i++, k--) + { + al[k] = al[k] * al[k + 1] + s[k]; + m_am[k] = al[k]; + } + } + m_last_idx = -1; + } + + + + //------------------------------------------------------------------------ + void bspline::init(int num, const double* x, const double* y) + { + if(num > 2) + { + init(num); + int i; + for(i = 0; i < num; i++) + { + add_point(*x++, *y++); + } + prepare(); + } + m_last_idx = -1; + } + + + //------------------------------------------------------------------------ + void bspline::bsearch(int n, const double *x, double x0, int *i) + { + int j = n - 1; + int k; + + for(*i = 0; (j - *i) > 1; ) + { + if(x0 < x[k = (*i + j) >> 1]) j = k; + else *i = k; + } + } + + + + //------------------------------------------------------------------------ + double bspline::interpolation(double x, int i) const + { + int j = i + 1; + double d = m_x[i] - m_x[j]; + double h = x - m_x[j]; + double r = m_x[i] - x; + double p = d * d / 6.0; + return (m_am[j] * r * r * r + m_am[i] * h * h * h) / 6.0 / d + + ((m_y[j] - m_am[j] * p) * r + (m_y[i] - m_am[i] * p) * h) / d; + } + + + //------------------------------------------------------------------------ + double bspline::extrapolation_left(double x) const + { + double d = m_x[1] - m_x[0]; + return (-d * m_am[1] / 6 + (m_y[1] - m_y[0]) / d) * + (x - m_x[0]) + + m_y[0]; + } + + //------------------------------------------------------------------------ + double bspline::extrapolation_right(double x) const + { + double d = m_x[m_num - 1] - m_x[m_num - 2]; + return (d * m_am[m_num - 2] / 6 + (m_y[m_num - 1] - m_y[m_num - 2]) / d) * + (x - m_x[m_num - 1]) + + m_y[m_num - 1]; + } + + //------------------------------------------------------------------------ + double bspline::get(double x) const + { + if(m_num > 2) + { + int i; + + // Extrapolation on the left + if(x < m_x[0]) return extrapolation_left(x); + + // Extrapolation on the right + if(x >= m_x[m_num - 1]) return extrapolation_right(x); + + // Interpolation + bsearch(m_num, m_x, x, &i); + return interpolation(x, i); + } + return 0.0; + } + + + //------------------------------------------------------------------------ + double bspline::get_stateful(double x) const + { + if(m_num > 2) + { + // Extrapolation on the left + if(x < m_x[0]) return extrapolation_left(x); + + // Extrapolation on the right + if(x >= m_x[m_num - 1]) return extrapolation_right(x); + + if(m_last_idx >= 0) + { + // Check if x is not in current range + if(x < m_x[m_last_idx] || x > m_x[m_last_idx + 1]) + { + // Check if x between next points (most probably) + if(m_last_idx < m_num - 2 && + x >= m_x[m_last_idx + 1] && + x <= m_x[m_last_idx + 2]) + { + ++m_last_idx; + } + else + if(m_last_idx > 0 && + x >= m_x[m_last_idx - 1] && + x <= m_x[m_last_idx]) + { + // x is between pevious points + --m_last_idx; + } + else + { + // Else perform full search + bsearch(m_num, m_x, x, &m_last_idx); + } + } + return interpolation(x, m_last_idx); + } + else + { + // Interpolation + bsearch(m_num, m_x, x, &m_last_idx); + return interpolation(x, m_last_idx); + } + } + return 0.0; + } + +} + |